In: Statistics and Probability
It might be predicted that consumer buying behavior would vary with the location of products in a store. Therefore, a team of market researchers looked at the sales per day for a known and unknown brand of candy bars. Additionally, the researchers placed the candy bars in the usual location and next to the cash register in different stores. What can the market researchers conclude with α = 0.05?
known brand | unknown brand | ||
usual | register | usual | register |
16 24 19 17 26 30 18 |
25 15 16 20 31 27 19 |
11 6 9 13 14 7 11 |
19 18 16 21 30 17 19 |
a) What is the appropriate test statistic?
(na ,one-way ANOVA, within-subjects ANOVA ,two-way
ANOVA )
b) Compute the appropriate test statistic(s) to
make a decision about H0.
Location: critical value = ; test
statistic =
Brand: critical value = ; test
statistic =
Interaction: critical value = ;
test statistic =
c) Compute the corresponding effect size(s) and
indicate magnitude(s).
Location: η2 = ;
( na, trivial effect ,small effect, medium effect
,large effect)
Brand: η2
= ; ( na, trivial effect
,small effect, medium effect ,large effect)
Interaction: η2
= ; ( na, trivial effect ,small effect,
medium effect ,large effect)